Answer:
Step-by-step explanation:
Since the north and south are opposite directions, you can subtract the distances in order to get your total vertical displacement.
8 miles south - 5 miles north = 3 miles south
After this, you use the Pythagorean theorem in order to get the hypotenuse of the triangle formed by the legs for 3 miles and 6 miles. (I strongly recommend you draw a diagram in order to visualize what the problem is asking)
a^2 + b^2 =c^2
3^2 + 6^2 = c^2
9 + 36 = c^2
45 = c^2
c = √45, or 3 √5
